Theoretical method and experimental verification for solving two/three component phononic crystals based on comsol partial differential equation module

Abstract In order to reduce the low frequency vibration and noise of ships, the phononic crystal structure is used to control the vibration and noise of ships. Based on three-dimensional spatial elastic wave theory and plane wave expansion method, combined with the differential equation module of finite element software, the band structure and transport characteristics of phononic crystal structure can be accurately solved. The correctness and feasibility of this method are verified by comparison with the simulation results of solid mechanics module of finite element software, which provides a new idea for solving phononic crystal structure. It lays a solid foundation for further study of phononic crystal structure. At the same time, this paper studies a new phononic crystal sandwich plate structure, which is applied to the vibration and noise reduction of ships. The theoretical method and experiment are used to study the structure, which proves that the structure has good vibration and noise reduction performance, and further explains the correctness and feasibility of the theoretical method. Based on this calculation method, it can be used to study the effect of the geometrical parameters and material parameters of phononic crystal structure on the band gap. By adjusting these parameters reasonably, the ship can achieve a good effect of vibration and noise reduction.